     In the study of vector spaces, one of the most fundamental concept is that of a basis.A basis provides us with an expansion of all vectors in terms of its elements.In infinite-dimensional Hilbert space, we are forced to work with infinite series and so depending on the work on infinite series, different concepts of basis has been established which may contain infinitely many elements namely, Schauder basis, orthonormal basis etc.In fact, in a separable Hilbert space every element can be expressed as a infinite linear combination of an orthonormal basis.The condition linearly independentness is not being assumed to define such Schauder basis or orthonormal basis but Schauder basis or orthonormal basis automatically becomes linearly independent.A frame is also spanning set of a Hilbert space but it is a redundant or linearly dependent system for a Hilbert space.So, frame can be considered as a generalization of orthonormal basis.In fact, frames play important role in theoretical research of wavelet analysis, signal denoising, feature extraction, robust signal processing etc.In 1946, D. Gabor [1]} first initiated a technique for rebuilding signals using a family of elementary signals.In 1952, Duffin and Schaeffer abstracted Gabor's method to define frame for Hilbert space in their fundamental paper [2]}.Later on, frame theory was popularized by Daubechies, Grossman, Meyer [3]}.The concept of  2-inner product space was first introduced by Diminnie, Gahler and White [4]} in 1970's.In 1989, A. Misiak [5]} developed the generalization of a  2-inner product space for  \(n \,\ge \, 2\) .
